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120112023312 = 243317109227661
BaseRepresentation
bin110111111011100111…
…1000000011100010000
3102111000210221222121000
41233313033000130100
53431442134221222
6131102333302000
711451326231661
oct1576717003420
9374023858530
10120112023312
1146a37118976
121b341334900
13b43247a658
145b56187368
1531cec329ac
hex1bf73c0710

120112023312 has 320 divisors, whose sum is σ = 370578067200. Its totient is φ = 37115781120.

The previous prime is 120112023287. The next prime is 120112023349. The reversal of 120112023312 is 213320211021.

120112023312 is a `hidden beast` number, since 120 + 11 + 202 + 331 + 2 = 666.

120112023312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181712262 + ... + 181712922.

It is an arithmetic number, because the mean of its divisors is an integer number (1158056460).

Almost surely, 2120112023312 is an apocalyptic number.

120112023312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120112023312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185289033600).

120112023312 is an abundant number, since it is smaller than the sum of its proper divisors (250466043888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120112023312 is a wasteful number, since it uses less digits than its factorization.

120112023312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120112023312 its reverse (213320211021), we get a palindrome (333432234333).

The spelling of 120112023312 in words is "one hundred twenty billion, one hundred twelve million, twenty-three thousand, three hundred twelve".